Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

368×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	3
1	41	3
2	72	3
3	81	3
4	81	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (fma x x (* x y)) 2.0)
0.0b	(fma x x (* x y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

3.0ms	(* (fma x x (* x y)) 2.0)
1.0ms	(fma x x (* x y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (fma x x (* x y)) 2.0)
38.0ms	(fma x x (* x y))

simplify59.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	151
1	328	132
2	2448	132
3	5001	132

prune51.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Merged error: 0.0b

Counts

37 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (fma x x (* x y)) 2.0)) (cbrt (* (fma x x (* x y)) 2.0)))
8.4b	(cbrt (* (fma x x (* x y)) 2.0))
8.4b	(cbrt (* (fma x x (* x y)) 2.0))
8.4b	(cbrt (* (fma x x (* x y)) 2.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

5.0ms	(* (cbrt (* (fma x x (* x y)) 2.0)) (cbrt (* (fma x x (* x y)) 2.0)))
2.0ms	(cbrt (* (fma x x (* x y)) 2.0))
2.0ms	(cbrt (* (fma x x (* x y)) 2.0))
2.0ms	(cbrt (* (fma x x (* x y)) 2.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

337.0ms	(* (cbrt (* (fma x x (* x y)) 2.0)) (cbrt (* (fma x x (* x y)) 2.0)))
251.0ms	(cbrt (* (fma x x (* x y)) 2.0))
253.0ms	(cbrt (* (fma x x (* x y)) 2.0))
246.0ms	(cbrt (* (fma x x (* x y)) 2.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	147	532
1	533	467
2	2719	418
3	5001	406

prune150.0ms

Filtered

78 candidates to 60 candidates (76.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Merged error: 0.0b

Counts

81 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fma x x (* x y)) (* (cbrt 2.0) (cbrt 2.0)))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 60

Calls

4 calls:

9.0ms	(* (fma x x (* x y)) (* (cbrt 2.0) (cbrt 2.0)))
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series109.0ms

Counts

4 → 6

Calls

4 calls:

109.0ms	(* (fma x x (* x y)) (* (cbrt 2.0) (cbrt 2.0)))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify56.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	116	300
1	430	261
2	1912	253
3	5002	253

prune122.0ms

Filtered

66 candidates to 53 candidates (80.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	66	3	69

Merged error: 0.0b

Counts

69 → 3

regimes29.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample489.0ms

Algorithm

intervals

Results

304.0ms

11220×

body

valid